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1-2 Linear Measure. Measure Line Segments. A line cannot be measured because its endpoints go on forever A line segment can be measured because it has endpoints. A. B. A. B. Find Length in Metric Units. Example 1 Find the length of using each ruler. a) b). is about 42 mm.
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Measure Line Segments • A line cannot be measured because its endpoints go on forever • A line segment can be measured because it has endpoints A B A B
Find Length in Metric Units Example 1 Find the length of using each ruler. a) b) is about 42 mm. is about 4.5 cm.
Find Length in Standard Units Example 2
Betweeness of Points M Point M is between points P and Q if and only if P, Q, and M are collinear and PM + MQ = PQ. PM PQ MQ P Q
Find Measurements by Adding Y Example 3 • Find XZ, (assume that the figure is not drawn to scale.) XZ = XY + YZ = 5.3 + 2.6 = 7.9 XZ = 7.9 cm 5.3 cm 2.6 cm X Z
Find Measurements by Subtracting Example 4 Find AB. AC = AB + BC 25.6 = AB + 11.1 - 11.1 - 11.1 14.5 = AB AB = 14.5 m B 11.1 m 25.6 m A C
Write and Solve Equations to Find Measurements Example 5 • Find the value of a and XY if Y is between X and Z. XZ = XY + YZ Y 3a 14 5a - 4 X Z
Write and Solve Equations to Find Measurements TWAP (Try with a Partner) Find the value of x and FG if F is between E and G. EG = EF + FG F 5x - 3 7x 45 E G F
Vocab: • Congruent Segments: Segments that have the same measure. • Use the symbol • Example: • Can lines be congruent??? • Find some cong. Segments in the room. Watch out!!!! Equal vs. congruent SEGMETNS are congruent but LENGTHS are = NO!!!!!